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24 January, 10:55

Given quadrilaterals ABCD ∼ EFGH, with m∠A=47°, m∠B=39°, and m∠C=112°. Find m∠F and m∠H.

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  1. 24 January, 12:03
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    m∠F = 39° m∠H = 162°

    Step-by-step explanation:

    The two figures are similar, so corresponding angles are congruent. That means angles B and F have the same measure, and angles D and H have the same measure.

    We can find the measure of angle D since we know the sum of angles in a quadrilateral is 360°:

    47° + 39° + 112° + ∠D = 360°

    ∠D = 360° - 198° = 162°

    The requested angle measures are ...

    m∠F = 39°

    m∠H = 162°
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